Question

If the numerator and denominator of a fraction are increased by "1" and "3" respectively, the fraction becomes 1/2. What is the fraction, if the increase of 2 in the numerator and 7 in the denominator makes it 2/5 ?

Answer 1

Let the fraction be $\frac{N}{D}$.

We know that, $\frac{N+1}{D+3}=\frac{1}{2}$

$2N-D=1$

And,

$\frac{N+2}{D+7}=\frac{2}{5}$

$5N-2D=4$

On solving these equations,

N=2 and D=3

Thus, Fraction = $\frac{2}{3}$